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Finding the Third Proportional to 982.38 and 2,138.13

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Solution

The third proportional to 982.38 and 2,138.13 is: 4,653.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.38 : 2,138.13 = 2,138.13 : x
  2. Step 2: Convert to fraction form
    982.38/2,138.13 = 2,138.13/x
  3. Step 3: Cross multiply
    982.38x = 2,138.13 × 2,138.13
  4. Step 4: Simplify right side
    982.38x = 4,571,578.52
  5. Step 5: Solve for x
    x = 4,571,578.52/982.38
  6. Step 6: Final answer
    x = 4,653.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.